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7th Grade Math Worksheet: Solving Equations

$Elementary math worksheet for 7th grade students focusing on solving equations, featuring eight simple algebraic problems.$

Elementary math worksheet for 7th grade students focusing on solving equations, featuring eight simple algebraic problems.

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Show Answer Key & Explanations Step-by-step solution for: Seventh Grade Math Worksheets | 7th grade math worksheets, Algebra ...

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To solve these equations, we need to find the value of the letter (variable) that makes the equation true. In all these problems, a number is being subtracted from the variable. To get the variable by itself, we do the opposite operation: addition.

We add the same number to both sides of the equals sign.

Here are the step-by-step solutions for each problem:

1. $x - 3 = 6$
* Add 3 to both sides: $x = 6 + 3$
* $x = 9$

2. $x - 12 = 14$
* Add 12 to both sides: $x = 14 + 12$
* $x = 26$

3. $n - 8 = 12$
* Add 8 to both sides: $n = 12 + 8$
* $n = 20$

4. $a - 9 = 15$
* Add 9 to both sides: $a = 15 + 9$
* $a = 24$

5. $n - 9 = 13$
* Add 9 to both sides: $n = 13 + 9$
* $n = 22$

6. $b - 8 = 9$
* Add 8 to both sides: $b = 9 + 8$
* $b = 17$

7. $x - 5 = 16$
* Add 5 to both sides: $x = 16 + 5$
* $x = 21$

8. $n - 6 = 17$
* Add 6 to both sides: $n = 17 + 6$
* $n = 23$

Final Answer:
1. x = 9
2. x = 26
3. n = 20
4. a = 24
5. n = 22
6. b = 17
7. x = 21
8. n = 23

Parent Tip: Review the logic above to help your child master the concept of math problems for 7th graders worksheet.

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